On my system (Ubuntu), your amharic characters are encoded in the *Ethiopan 
pane*
(U+1200-U+137C)
and they are displayed with the FreeSerif Font
For example ቱ (the third character) is defined as
U+1271 ETHIOPIC SYLLABLE TU

So they are _not_ in any private area.

I tested them in a LilyPond file, and your amharic charaters show up normally.
Looking at the properties of the PDF files, it gives these fonts :

name type              encoding         emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- 
--- ---------
ETFDGR+C059-Roman                    Type 1C Custom           yes yes no       
7  0
MNLSBV+Emmentaler-20                 Type 1C Custom           yes yes no      
13  0
VLWNVH+FreeSerif                     TrueType WinAnsi          yes yes yes      
9  0

So I would suggest you try and install FreeSerif on your system
Look for example and fonts here <https://nextcloud.silvain-dupertuis.net/index.php/s/DCqk3R7E6wAfCac>

Le 15.08.22 à 17:55, Hans Åberg a écrit :
composer = "Mulatu Astatke (ሙላቱ አስታጥቄ)"


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